# Need analytic solution!

## Main Question or Discussion Point

Hi everyone. Maple and I have collectively racked our brains and I've tried most of the integration techniques I know. Does anyone know the solution to the integral

$$\int$$ exp(-a*abs(x))*exp(i*(k0-k)*x)*dx

from -infinity to infinity (not sure how to get the limits over the integral sign here in this text box)???

There might be a good change of variables, but my brain is now too fried to think of it. Or does this baby just not have a nice solution? anyone?

Not me :O)

uart
I got $$\frac{1}{a-bi} + \frac{1}{a+bi} = \frac{2a}{a^2+b^2}$$
BTW. $$b = k_0 - k$$ in my solution.